In order to build a spectroscopically complete sample, our parent sample is based on the HST catalog in [1]} with deep 5\(\sigma \)  limiting magnitudes from 27.8 to 30.1 mag. The catalog is confirmed to be complete in UV at the redshift and \(M_{\rm 1500}\)  ranges that we used in this paper [2]}. Out of a total of 9969 sources in the catalog, 797 sources are within the footprint of the more than 100-hour integration region. Among them, 142 sources are brighter than 27.5 mag in \(F775W\) , which corresponds to a rest-frame UV band for sources at \(z=2.86\) –\(4.44\) . This apparent magnitude cut is 0.5 mag fainter than that for the HST prior detection in the mosaic field in the MUSE-HUDF Survey in [3]}. As mentioned above, 123 sources (87% of 142 \(F775W\le 27.5\)  sources) have a reliable spec-\(z\)  from MUSE with ZCONF=2 or 3, and 10 sources have a possible spec-\(z\)  (ZCONF=1). The remaining nine sources are not in the MXDF catalog as they do not show a clear feature in their spectra, but their continua are detected in the MXDF data cube (see below for more details).
